23428569312 has 288 divisors, whose sum is σ = 72865814112. Its totient is φ = 7110623232.

The previous prime is 23428569301. The next prime is 23428569317. The reversal of 23428569312 is 21396582432.

23428569312 is a `hidden beast` number, since 2 + 34 + 28 + 569 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (622080) is a multiple of the sum of its prime factors (810).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23428569317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51265788 + ... + 51266244.

It is an arithmetic number, because the mean of its divisors is an integer number (253006299).

Almost surely, 2^23428569312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23428569312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36432907056).

23428569312 is an abundant number, since it is smaller than the sum of its proper divisors (49437244800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23428569312 is a wasteful number, since it uses less digits than its factorization.

23428569312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 23428569312 in words is "twenty-three billion, four hundred twenty-eight million, five hundred sixty-nine thousand, three hundred twelve".